Finding the Third Proportional to 10,193 and 13,435

Step by Step Solution

1. Step 1: Write the proportion equation
   10,193 : 13,435 = 13,435 : x
2. Step 2: Convert to fraction form
   10,193/13,435 = 13,435/x
3. Step 3: Cross multiply
   10,193x = 13,435 × 13,435
4. Step 4: Simplify right side
   10,193x = 180,499,225
5. Step 5: Solve for x
   x = 180,499,225/10,193
6. Step 6: Final answer
   x = 17,708.16